No they both do. Some Genins have Chuunin instructors. I'd imagine not all jounins are babysitters, after all only three teams make it to an actual Genin, in other words, only three instructors for each graduating class are needed. I doubt they'd have to call upon Kakashi, Kurenai or Asuma (now dead) again for a while.Originally Posted by deaconfry
The old instructors now just go on missions in a team as ninjas. For example we've seen time and time again Kakashi being away on a mission.